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基于旋转周期构造Hankel矩阵-mRMR与PSO-KELM的轴承故障诊断方法
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作者 李德仓 吕思潭 《中国工程机械学报》 北大核心 2026年第1期134-138,共5页
针对强背景噪声导致周期识别不稳定、无法有效提取故障特征,以及核极限学习机(KELM)参数选择困难的问题,提出一种基于旋转周期构造Hankel矩阵-mRMR特征选取与粒子群算法优化核极限学习机(PSOKELM)的轴承故障诊断方法。该方法利用旋转周... 针对强背景噪声导致周期识别不稳定、无法有效提取故障特征,以及核极限学习机(KELM)参数选择困难的问题,提出一种基于旋转周期构造Hankel矩阵-mRMR特征选取与粒子群算法优化核极限学习机(PSOKELM)的轴承故障诊断方法。该方法利用旋转周期构造信号Hankel矩阵,完成奇异值分解(SVD)降噪处理;针对降噪后的故障特征集合采用最大相关最小冗余算法(mRMR)完成特征优选,确定最优特征向量;将优选后的特征子集输入到惩罚因子和核函数参数优化后的PSO-KELM模型中进行故障诊断。实验分析表明:所提方法通过构造旋转周期降噪信号与mRMR相结合,实现了特征子集的优选;优化后的PSO-KELM模型能有效抑制噪声对故障分类的影响,两者的叠加作用有效提高了强噪声背景下滚动轴承的故障诊断精度。 展开更多
关键词 旋转周期 hankel矩阵 最大相关最小冗余 特征选取 核极限学习机 滚动轴承
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IMPROVEMENT ON HANKEL DETERMINANT BOUNDS FOR SPECIFIC HOLOMORPHIC FUNCTIONS
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作者 Huo TANG Muhammad ABBAS +1 位作者 Reem K.ALHEFTHI Muhammad ARIF 《Acta Mathematica Scientia》 2026年第1期39-61,共23页
In recent years,researchers have extensively investigated the Hankel determinant,which consists of coefficients appearing in a holomorphic function’s Taylor-Maclaurin series.Hankel matrices are widely used in Markov ... In recent years,researchers have extensively investigated the Hankel determinant,which consists of coefficients appearing in a holomorphic function’s Taylor-Maclaurin series.Hankel matrices are widely used in Markov processes,non-stationary signals,and other mathematical disciplines.The aim of the current research article is to first improve the bounds of coefficient-related problems by employing the well-known Carathéodory function.The problems that we are going to improve were obtained by Tang et al.The sharp estimates of the most difficult problem of geometric function theory known as the third-order Hankel determinant are also contributed here.Zalcman and Fekete-Szegöinequalities are also studied here for the defined family of holomorphic functions. 展开更多
关键词 holomorphic function Carathéodory function hankel determinant Zalcman inequality
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Support Vector-Guided Class-Incremental Learning:Discriminative Replay with Dual-Alignment Distillation
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作者 Moyi Zhang Yixin Wang Yu Cheng 《Computers, Materials & Continua》 2026年第3期2040-2061,共22页
Modern intelligent systems,such as autonomous vehicles and face recognition,must continuously adapt to new scenarios while preserving their ability to handle previously encountered situations.However,when neural netwo... Modern intelligent systems,such as autonomous vehicles and face recognition,must continuously adapt to new scenarios while preserving their ability to handle previously encountered situations.However,when neural networks learn new classes sequentially,they suffer from catastrophic forgetting—the tendency to lose knowledge of earlier classes.This challenge,which lies at the core of class-incremental learning,severely limits the deployment of continual learning systems in real-world applications with streaming data.Existing approaches,including rehearsalbased methods and knowledge distillation techniques,have attempted to address this issue but often struggle to effectively preserve decision boundaries and discriminative features under limited memory constraints.To overcome these limitations,we propose a support vector-guided framework for class-incremental learning.The framework integrates an enhanced feature extractor with a Support Vector Machine classifier,which generates boundary-critical support vectors to guide both replay and distillation.Building on this architecture,we design a joint feature retention strategy that combines boundary proximity with feature diversity,and a Support Vector Distillation Loss that enforces dual alignment in decision and semantic spaces.In addition,triple attention modules are incorporated into the feature extractor to enhance representation power.Extensive experiments on CIFAR-100 and Tiny-ImageNet demonstrate effective improvements.On CIFAR-100 and Tiny-ImageNet with 5 tasks,our method achieves 71.68%and 58.61%average accuracy,outperforming strong baselines by 3.34%and 2.05%.These advantages are consistently observed across different task splits,highlighting the robustness and generalization of the proposed approach.Beyond benchmark evaluations,the framework also shows potential in few-shot and resource-constrained applications such as edge computing and mobile robotics. 展开更多
关键词 Class-incremental learning catastrophic forgetting support vector machine knowledge distillation
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Adeno-associated viral vectors for modeling Parkinson's disease in non-human primates
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作者 Julia Chocarro José L.Lanciego 《Neural Regeneration Research》 2026年第1期224-232,共9页
The development of clinical candidates that modify the natural progression of sporadic Parkinson's disease and related synucleinopathies is a praiseworthy endeavor,but extremely challenging.Therapeutic candidates ... The development of clinical candidates that modify the natural progression of sporadic Parkinson's disease and related synucleinopathies is a praiseworthy endeavor,but extremely challenging.Therapeutic candidates that were successful in preclinical Parkinson's disease animal models have repeatedly failed when tested in clinical trials.While these failures have many possible explanations,it is perhaps time to recognize that the problem lies with the animal models rather than the putative candidate.In other words,the lack of adequate animal models of Parkinson's disease currently represents the main barrier to preclinical identification of potential disease-modifying therapies likely to succeed in clinical trials.However,this barrier may be overcome by the recent introduction of novel generations of viral vectors coding for different forms of alpha-synuclein species and related genes.Although still facing several limitations,these models have managed to mimic the known neuropathological hallmarks of Parkinson's disease with unprecedented accuracy,delineating a more optimistic scenario for the near future. 展开更多
关键词 adeno-associated viral vectors ALPHA-SYNUCLEIN DOPAMINE Lewy bodies NEURODEGENERATION NEUROMELANIN NEUROPATHOLOGY substantia nigra
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Yaw stabilization and maneuvering control of tailless flying wing by co-directional fluidic thrust vectoring
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作者 Liu ZHANG Meng HE 《Chinese Journal of Aeronautics》 2026年第1期66-77,共12页
Fluidic Thrust Vectoring(FTV)is used for the yaw attitude control of tailless flying wing,which can significantly improve stealth performance,maneuverability and lateral/heading maneuverability.The FTV control scheme ... Fluidic Thrust Vectoring(FTV)is used for the yaw attitude control of tailless flying wing,which can significantly improve stealth performance,maneuverability and lateral/heading maneuverability.The FTV control scheme of co-directional secondary flow was designed based on a 30 kgf thrust turbojet engine,an equivalent rudder deflection control variable of Mass Flow Combination(MFC)was proposed,and a control model was established to form a FTV control system scheme,which was integrated with the flight control system of a 100 kg tailless flying wing with medium aspect ratio to achieve closed-loop control of the yaw attitude based on FTV.The heading stability augmentation and maneuvering control characteristics and time response characteristics of tailless flying wing by FTV were quantitatively studied through virtual flight test in a wind tunnel at a wind speed of 35 m/s.The results show that the control strategy based on MFC achieves bidirectional continuous and stable control of thrust vector angle in a range of±11°,and the thrust vector angle varies monotonically with MFC;the co-directional FTV realizes bidirectional continuous and stable control of the yaw attitude of tailless flying wing,without longitudinal/lateral coupling moment.The increment of the maximum yawing moment coefficient is 0.0029,the maximum yaw rate is 7.55(°)/s,and the response time of the yaw rate of the vectoring nozzle actuated by the secondary flow is about 0.06 s,which satisfies the heading stability augmentation and maneuvering control response requirements of the aircraft with statically unstable heading,and provides new control means for the heading rudderless attitude control of tailless flying wing. 展开更多
关键词 Thrust vectoring Flow control Coanda effect Flying-wing aircraft Flight tests Yaw control
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Using mixed kernel support vector machine to improve the predictive accuracy of genome selection
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作者 Jinbu Wang Wencheng Zong +6 位作者 Liangyu Shi Mianyan Li Jia Li Deming Ren Fuping Zhao Lixian Wang Ligang Wang 《Journal of Integrative Agriculture》 2026年第2期775-787,共13页
The advantages of genome selection(GS) in animal and plant breeding are self-evident.Traditional parametric models have disadvantage in better fit the increasingly large sequencing data and capture complex effects acc... The advantages of genome selection(GS) in animal and plant breeding are self-evident.Traditional parametric models have disadvantage in better fit the increasingly large sequencing data and capture complex effects accurately.Machine learning models have demonstrated remarkable potential in addressing these challenges.In this study,we introduced the concept of mixed kernel functions to explore the performance of support vector machine regression(SVR) in GS.Six single kernel functions(SVR_L,SVR_C,SVR_G,SVR_P,SVR_S,SVR_L) and four mixed kernel functions(SVR_GS,SVR_GP,SVR_LS,SVR_LP) were used to predict genome breeding values.The prediction accuracy,mean squared error(MSE) and mean absolute error(MAE) were used as evaluation indicators to compare with two traditional parametric models(GBLUP,BayesB) and two popular machine learning models(RF,KcRR).The results indicate that in most cases,the performance of the mixed kernel function model significantly outperforms that of GBLUP,BayesB and single kernel function.For instance,for T1 in the pig dataset,the predictive accuracy of SVR_GS is improved by 10% compared to GBLUP,and by approximately 4.4 and 18.6% compared to SVR_G and SVR_S respectively.For E1 in the wheat dataset,SVR_GS achieves 13.3% higher prediction accuracy than GBLUP.Among single kernel functions,the Laplacian and Gaussian kernel functions yield similar results,with the Gaussian kernel function performing better.The mixed kernel function notably reduces the MSE and MAE when compared to all single kernel functions.Furthermore,regarding runtime,SVR_GS and SVR_GP mixed kernel functions run approximately three times faster than GBLUP in the pig dataset,with only a slight increase in runtime compared to the single kernel function model.In summary,the mixed kernel function model of SVR demonstrates speed and accuracy competitiveness,and the model such as SVR_GS has important application potential for GS. 展开更多
关键词 genome selection machine learning support vector machine kernel function mixed kernel function
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A Convolutional Neural Network-Based Deep Support Vector Machine for Parkinson’s Disease Detection with Small-Scale and Imbalanced Datasets
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作者 Kwok Tai Chui Varsha Arya +2 位作者 Brij B.Gupta Miguel Torres-Ruiz Razaz Waheeb Attar 《Computers, Materials & Continua》 2026年第1期1410-1432,共23页
Parkinson’s disease(PD)is a debilitating neurological disorder affecting over 10 million people worldwide.PD classification models using voice signals as input are common in the literature.It is believed that using d... Parkinson’s disease(PD)is a debilitating neurological disorder affecting over 10 million people worldwide.PD classification models using voice signals as input are common in the literature.It is believed that using deep learning algorithms further enhances performance;nevertheless,it is challenging due to the nature of small-scale and imbalanced PD datasets.This paper proposed a convolutional neural network-based deep support vector machine(CNN-DSVM)to automate the feature extraction process using CNN and extend the conventional SVM to a DSVM for better classification performance in small-scale PD datasets.A customized kernel function reduces the impact of biased classification towards the majority class(healthy candidates in our consideration).An improved generative adversarial network(IGAN)was designed to generate additional training data to enhance the model’s performance.For performance evaluation,the proposed algorithm achieves a sensitivity of 97.6%and a specificity of 97.3%.The performance comparison is evaluated from five perspectives,including comparisons with different data generation algorithms,feature extraction techniques,kernel functions,and existing works.Results reveal the effectiveness of the IGAN algorithm,which improves the sensitivity and specificity by 4.05%–4.72%and 4.96%–5.86%,respectively;and the effectiveness of the CNN-DSVM algorithm,which improves the sensitivity by 1.24%–57.4%and specificity by 1.04%–163%and reduces biased detection towards the majority class.The ablation experiments confirm the effectiveness of individual components.Two future research directions have also been suggested. 展开更多
关键词 Convolutional neural network data generation deep support vector machine feature extraction generative artificial intelligence imbalanced dataset medical diagnosis Parkinson’s disease small-scale dataset
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基于3D-Hankel矩阵构造的混响不变量分离
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作者 高博 庄天一 +2 位作者 庞杰 高大治 王宁 《哈尔滨工程大学学报》 北大核心 2025年第8期1530-1537,共8页
为解决浅海低频主动声呐探测系统中混响信号与目标回波分离的难题,本文基于微扰近似提出了浅海混响不变量的概念,并提出了一种基于3D-Hankel矩阵构造的混响不变量提取方法。该方法利用3D-Hankel矩阵的低秩近似特性,结合奇异值分解技术,... 为解决浅海低频主动声呐探测系统中混响信号与目标回波分离的难题,本文基于微扰近似提出了浅海混响不变量的概念,并提出了一种基于3D-Hankel矩阵构造的混响不变量提取方法。该方法利用3D-Hankel矩阵的低秩近似特性,结合奇异值分解技术,可以稳健准确地提取浅海混响干涉结构,即浅海混响不变量。结果表明:该方法有效减少了噪声和海洋环境不确定性对分离过程的不利影响,成功分离浅海混响干涉条纹。本文方法与传统低秩分解算法相比,分离出更加清晰稳定的条纹结构,有助于增强混响抑制效果。 展开更多
关键词 浅海混响 低频混响 hankel矩阵构造 混响干涉条纹 主动声呐 奇异值分解 时频域 混响抑制
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一类单叶函数对数系数的三阶Hankel行列式
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作者 郭栋 李宗涛 +1 位作者 傅秀莲 王庆 《曲阜师范大学学报(自然科学版)》 2025年第4期73-80,共8页
令H表示单位圆盘D={z∈ℂ:|z|<1}内具有下述形式的解析函数类f(z)=z+Σ_(n=2)^(∞)a_(n)z^(n).该文研究了单位圆盘D上的解析函数类ST(i):ST(i)={f:Re{(1-z^(2))f(z)/z}>0,f∈H,z∈D}的Zalcman泛函J_(2,4)(f)、J_(3,3)(f)、J_(3,4)... 令H表示单位圆盘D={z∈ℂ:|z|<1}内具有下述形式的解析函数类f(z)=z+Σ_(n=2)^(∞)a_(n)z^(n).该文研究了单位圆盘D上的解析函数类ST(i):ST(i)={f:Re{(1-z^(2))f(z)/z}>0,f∈H,z∈D}的Zalcman泛函J_(2,4)(f)、J_(3,3)(f)、J_(3,4)(f)和对数系数的Hankel行列式.部分上界是紧界. 展开更多
关键词 单叶函数 hankel行列式 对数系数 Zalcman泛函
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基于低秩Hankel矩阵分解的地震数据重建 被引量:1
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作者 秦思 田琳 肖兴明 《新疆师范大学学报(自然科学版)》 2025年第3期17-22,共6页
物理和经济条件的限制及噪声污染使得地震信号数据缺失,这将影响地震资料的处理和解释,因此进行地震数据重建十分重要。本研究低秩和Hankel矩阵对随机缺失地震数据进行重建:采用快速的低秩Hankel矩阵分解方法在时域直接进行2D重建,将核... 物理和经济条件的限制及噪声污染使得地震信号数据缺失,这将影响地震资料的处理和解释,因此进行地震数据重建十分重要。本研究低秩和Hankel矩阵对随机缺失地震数据进行重建:采用快速的低秩Hankel矩阵分解方法在时域直接进行2D重建,将核范数项替换分解成两个矩阵之和,避免SVD计算,加快了计算速度。在求解时,采用交替方向乘子法交替迭代处理,进一步加快计算速度。合成数据和实际地震数据测试均验证了该方法的有效性。该方法在重建精度和信噪比方面相对于f-k域滤波重建方法具有优越性。 展开更多
关键词 低秩 hankel矩阵 地震数据重建 交替方向乘子法
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Joint Estimation of SOH and RUL for Lithium-Ion Batteries Based on Improved Twin Support Vector Machineh 被引量:1
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作者 Liyao Yang Hongyan Ma +1 位作者 Yingda Zhang Wei He 《Energy Engineering》 EI 2025年第1期243-264,共22页
Accurately estimating the State of Health(SOH)and Remaining Useful Life(RUL)of lithium-ion batteries(LIBs)is crucial for the continuous and stable operation of battery management systems.However,due to the complex int... Accurately estimating the State of Health(SOH)and Remaining Useful Life(RUL)of lithium-ion batteries(LIBs)is crucial for the continuous and stable operation of battery management systems.However,due to the complex internal chemical systems of LIBs and the nonlinear degradation of their performance,direct measurement of SOH and RUL is challenging.To address these issues,the Twin Support Vector Machine(TWSVM)method is proposed to predict SOH and RUL.Initially,the constant current charging time of the lithium battery is extracted as a health indicator(HI),decomposed using Variational Modal Decomposition(VMD),and feature correlations are computed using Importance of Random Forest Features(RF)to maximize the extraction of critical factors influencing battery performance degradation.Furthermore,to enhance the global search capability of the Convolution Optimization Algorithm(COA),improvements are made using Good Point Set theory and the Differential Evolution method.The Improved Convolution Optimization Algorithm(ICOA)is employed to optimize TWSVM parameters for constructing SOH and RUL prediction models.Finally,the proposed models are validated using NASA and CALCE lithium-ion battery datasets.Experimental results demonstrate that the proposed models achieve an RMSE not exceeding 0.007 and an MAPE not exceeding 0.0082 for SOH and RUL prediction,with a relative error in RUL prediction within the range of[-1.8%,2%].Compared to other models,the proposed model not only exhibits superior fitting capability but also demonstrates robust performance. 展开更多
关键词 State of health remaining useful life variational modal decomposition random forest twin support vector machine convolutional optimization algorithm
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Thrust-vectoring schemes for electric propulsion systems:A review 被引量:1
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作者 Andrei SHUMEIKO Victor TELEKH Sergei RYZHKOV 《Chinese Journal of Aeronautics》 2025年第6期179-203,共25页
Thrust-vectoring capability has become a critical feature for propulsion systems as space missions move from static to dynamic.Thrust-vectoring is a well-developed area of rocket engine science.For electric propulsion... Thrust-vectoring capability has become a critical feature for propulsion systems as space missions move from static to dynamic.Thrust-vectoring is a well-developed area of rocket engine science.For electric propulsion,however,it is an evolving field that has taken a new leap forward in recent years.A review and analysis of thrust-vectoring schemes for electric propulsion systems have been conducted.The scope of this review includes thrust-vectoring schemes that can be implemented for electrostatic,electromagnetic,and beam-driven thrusters.A classification of electric propulsion schemes that provide thrust-vectoring capability is developed.More attention is given to schemes implemented in laboratory prototypes and flight models.The final part is devoted to a discussion on the suitability of different electric propulsion systems with thrust-vectoring capability for modern space mission operations.The thrust-vectoring capability of electric propulsion is necessary for inner and outer space satellites,which are at a disadvantage with conventional unidirectional propulsion systems due to their limited maneuverability. 展开更多
关键词 Electric propulsion Spacecraft propulsion Plasma sources Flight control systems Thrust vectoring Thrust vector control
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基于 l ∞ -模的Hankel张量补全的保结构加速邻近梯度算法
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作者 高欣 贾宏恩 +1 位作者 闫喜红 王泽馨 《应用数学进展》 2025年第4期675-687,共13页
加速邻近梯度算法是求解张量补全问题的经典方法之一,但将该算法应用到Hankel结构张量补全时,无法保证补全的张量能够保持Hankel结构。因此,本文基于加速邻近梯度算法的框架,提出了一种保Hankel结构的加速邻近梯度算法。该算法在每次迭... 加速邻近梯度算法是求解张量补全问题的经典方法之一,但将该算法应用到Hankel结构张量补全时,无法保证补全的张量能够保持Hankel结构。因此,本文基于加速邻近梯度算法的框架,提出了一种保Hankel结构的加速邻近梯度算法。该算法在每次迭代中利用l∞-模投影算子生成Hankel结构张量。在理论上,本文证明了新算法在合理假设条件下的收敛性。最后,通过随机Hankel张量补全与图像修复实例的数值实验验证了新算法的有效性。The accelerated proximal gradient algorithm is one of the classic methods for solving tensor completion problems. However, when applied to Hankel structured tensor completion, it cannot guarantee that the completed tensor can maintain the Hankel structure. Therefore, based on the framework of the accelerated proximal gradient algorithm, this paper proposes a new accelerated proximal gradient algorithm that can preserve the Hankel structure. In each iteration of the algorithm, utilizing the l∞-norm projection and the fast singular value thresholding method ensures that the generated tensor preserves the Hankel structure. Moreover, this paper proves the convergence of the new algorithm under reasonable assumptions. Finally, the effectiveness of the new algorithm is verified through numerical experiments of random Hankel tensor completion and image restoration examples. 展开更多
关键词 hankel张量 张量补全 加速邻近梯度算法 保结构 -模
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Evaluating vector winds over eastern China in 2022 predicted by the CMA-MESO model and ECMWF forecast 被引量:1
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作者 Fang Huang Mingjian Zeng +4 位作者 Zhongfeng Xu Boni Wang Ming Sun Hangcheng Ge Shoukang Wu 《Atmospheric and Oceanic Science Letters》 2025年第4期41-47,共7页
Vector winds play a crucial role in weather and climate,as well as the effective utilization of wind energy resources.However,limited research has been conducted on treating the wind field as a vector field in the eva... Vector winds play a crucial role in weather and climate,as well as the effective utilization of wind energy resources.However,limited research has been conducted on treating the wind field as a vector field in the evaluation of numerical weather prediction models.In this study,the authors treat vector winds as a whole by employing a vector field evaluation method,and evaluate the mesoscale model of the China Meteorological Administration(CMA-MESO)and ECMWF forecast,with reference to ERA5 reanalysis,in terms of multiple aspects of vector winds over eastern China in 2022.The results show that the ECMWF forecast is superior to CMA-MESO in predicting the spatial distribution and intensity of 10-m vector winds.Both models overestimate the wind speed in East China,and CMA-MESO overestimates the wind speed to a greater extent.The forecasting skill of the vector wind field in both models decreases with increasing lead time.The forecasting skill of CMA-MESO fluctuates more and decreases faster than that of the ECMWF forecast.There is a significant negative correlation between the model vector wind forecasting skill and terrain height.This study provides a scientific evaluation of the local application of vector wind forecasts of the CMA-MESO model and ECMWF forecast. 展开更多
关键词 Model evaluation vector winds CMA-MESO ECMWF Forecasting skill
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A Support Vector Machine(SVM)Model for Privacy Recommending Data Processing Model(PRDPM)in Internet of Vehicles
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作者 Ali Alqarni 《Computers, Materials & Continua》 SCIE EI 2025年第1期389-406,共18页
Open networks and heterogeneous services in the Internet of Vehicles(IoV)can lead to security and privacy challenges.One key requirement for such systems is the preservation of user privacy,ensuring a seamless experie... Open networks and heterogeneous services in the Internet of Vehicles(IoV)can lead to security and privacy challenges.One key requirement for such systems is the preservation of user privacy,ensuring a seamless experience in driving,navigation,and communication.These privacy needs are influenced by various factors,such as data collected at different intervals,trip durations,and user interactions.To address this,the paper proposes a Support Vector Machine(SVM)model designed to process large amounts of aggregated data and recommend privacy preserving measures.The model analyzes data based on user demands and interactions with service providers or neighboring infrastructure.It aims to minimize privacy risks while ensuring service continuity and sustainability.The SVMmodel helps validate the system’s reliability by creating a hyperplane that distinguishes between maximum and minimum privacy recommendations.The results demonstrate the effectiveness of the proposed SVM model in enhancing both privacy and service performance. 展开更多
关键词 Support vector machine big data IoV PRIVACY-PRESERVING
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Comprehensive analysis of noise in Macao Science Satellite-1 vector magnetometer data 被引量:1
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作者 SiShan Song Fan Yin +4 位作者 Qin Yan Hermann Lühr Chao Xiong Yi Jiang PengFei Liu 《Earth and Planetary Physics》 2025年第3期532-540,共9页
The Macao Science Satellite-1(known as MSS-1)is the first scientific exploration satellite that was designed to measure the Earth's low latitude magnetic field at high resolution and with high precision by collect... The Macao Science Satellite-1(known as MSS-1)is the first scientific exploration satellite that was designed to measure the Earth's low latitude magnetic field at high resolution and with high precision by collecting data in a near-equatorial orbit.Magnetic field data from MSS-1's onboard Vector Fluxgate Magnetometer(VFM),collected at a sample rate of 50 Hz,allows us to detect and investigate sources of magnetic data contamination,from DC to relevant Nyquist frequency.Here we report two types of artificial disturbances in the VFM data.One is V-shaped events concentrated at night,with frequencies sweeping from the Nyquist frequency down to zero and back up.The other is 5-Hz events(ones that exhibit a distinct 5 Hz spectrum peak);these events are always accompanied by intervals of spiky signals,and are clearly related to the attitude control of the satellite.Our analyses show that VFM noise levels in daytime are systematically lower than in nighttime.The daily average noise levels exhibit a period of about 52 days.The V-shaped events are strongly correlated with higher VFM noise levels. 展开更多
关键词 Macao Science Satellite-1 vector Fluxgate Magnetometer artificial disturbances noise features
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基于Hankel-SVD-EMD算法人体抖动条件下的心率信号重建技术研究
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作者 李昊翰 王璐 +3 位作者 王守阳 王志宇 陈巨增 王宪涛 《长春理工大学学报(自然科学版)》 2025年第3期55-62,共8页
在现代医疗诊断中,心率监测对于早期发现心脏疾病至关重要。然而,传统的心率测量方法存在局限性,如需主动操作和低舒适度。针对毫米波雷达非接触心率测量中不可避免的用户轻微抖动问题,提出了基于Hankel-SVD-EMD的心率信号重建技术。首... 在现代医疗诊断中,心率监测对于早期发现心脏疾病至关重要。然而,传统的心率测量方法存在局限性,如需主动操作和低舒适度。针对毫米波雷达非接触心率测量中不可避免的用户轻微抖动问题,提出了基于Hankel-SVD-EMD的心率信号重建技术。首先,通过相位解缠处理雷达采集的原始数据以获取相位差变化;其次,应用Hankel矩阵和SVD分解技术优化信号处理;最后,通过经验模态分解(EMD)进一步提升信号分离的准确性。仿真结果表明,该方法显著提升了心率信号检测的准确度,将心率检测误差减小到6.51%。 展开更多
关键词 心率监测 毫米波雷达 hankel-SVD-EMD技术 信号重建
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A Survey on the Existence of Harmonic Metrics on Vector Bundles
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作者 SHEN Zhenghan ZHANG Xi 《数学进展》 北大核心 2025年第2期390-404,共15页
In this paper,we give a survey on the existence of Hermitian-Einstein metrics and harmonic metrics.
关键词 Hermitian-Einstein metric harmonic metric holomorphic vector bundle non-Hermitian Yang-Mills bundle
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Asymptotic Behaviors of Hankel Determinants Whose Entries Involve Regularly- or Rapidly-Varying Functions. Part II*
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作者 Antonio Granata 《Advances in Pure Mathematics》 2025年第2期119-144,共26页
Here we complete our work on the asymptotics of Hankel determinants studying the case wherein the entries are “ultrarapidly”-varying functions in the sense that their logarithms are rapidly varying. Moreover, the la... Here we complete our work on the asymptotics of Hankel determinants studying the case wherein the entries are “ultrarapidly”-varying functions in the sense that their logarithms are rapidly varying. Moreover, the last results in the paper highlight analogies between algebraic identities for Hankelians with special entries and asymptotic relations valid for large classes of entries. 展开更多
关键词 Asymptotic Behaviors of hankel Determinants Asymptotic Expansions in the Real Domain Regularly- Rapidly- and Exponentially-Varying Functions of Higher Order Algebraic Identities for hankelians
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调和Bergman空间上以径向函数为符号的H-Toeplitz算子与H-Hankel算子的交换性
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作者 董玉 曹璎元 李然 《数学物理学报(A辑)》 北大核心 2025年第5期1417-1423,共7页
该文首先研究了调和Bergman空间上两个以径向函数为符号的H-Toeplitz算子的交换性,其次给出了以径向函数为符号的H-Toeplitz算子与H-Hankel算子的乘积等于另一个H-Toeplitz算子或者另一个H-Hankel算子的充分必要条件.
关键词 调和Bergman空间 H-Toeplitz算子 交换性 H-hankel算子
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